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Finding the Fourth Proportional to 416.61, 574.87 and 250.90

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Solution

The fourth proportional to 416.61, 574.87 and 250.90 is: 346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.61 : 574.87 = 250.90 : x
  2. Step 2: Convert to fraction form
    416.61/574.87 = 250.90/x
  3. Step 3: Cross multiply
    416.61x = 574.87 × 250.90
  4. Step 4: Simplify right side
    416.61x = 144,234.88
  5. Step 5: Solve for x
    x = 144,234.88/416.61
  6. Step 6: Final answer
    x = 346.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.